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Vehicle Dynamics Engineer · GTU Motorsports, Formula Student · Apr 2019 to Mar 2021

A decoupled heave and roll suspension that ran at Formula Bharat 2020

CAD drawing, front view: pushrods from the wheels to rockers, a heave spring-damper between the rockers, and the roll spring-damper inside its cage
Fig.
1
Title
The heave and roll units with their pushrods, in CAD
Kind
CAD render
Source
GTU Motorsports, Formula Student

Problem

With four corner spring-dampers, one set of springs and dampers carries both heave and roll, so a setting that suits one compromises the other. A decoupled layout gives each mode its own spring and damper, so heave and roll stiffness and damping can be set independently. Nobody in the team had built one.

Approach

Rockers split the motion: a heave element works when the wheels move together, a roll element when they move in opposition (Fig. 2), each with its own motion ratio. I placed the geometry in a full-car MSC Adams model and set the two ratios there (Fig. 1). For the roll element I designed a damper cage that always compresses its spring-damper, whether the rocker pulls it apart or pushes it together (Fig. 3).

Heave: both wheels up, zL​ = zR​zL​zR​heave element shorter by Δsh​roll unit unchangedMRh​ = Δsh​ / (zL​ + zR​)Roll: left up, right down, zL​ = −zR​zL​zR​heave element unchangedroll unit longer by Δsr​MRr​ = Δsr​ / (zL​ − zR​)Heave, zL​ = zR​zL​zR​heave element shorter by Δsh​roll unit unchangedMRh​ = Δsh​ / (zL​ + zR​)Roll, zL​ = −zR​zL​zR​heave element unchangedroll unit longer by Δsr​MRr​ = Δsr​ / (zL​ − zR​)
Fig.
2
Title
Heave and roll, decoupled
Kind
Schematic, principle only, not to scale
Source
Drawn for this site
Note
In the accent, the element that works in each case. The roll element is the unit in the damper cage.
CAD render of the damper cage: two end yokes joined by four guide rods, with a spring-damper unit and rod ends held between them
Fig.
3
Title
The damper cage: one spring-damper held between two yokes on four guide rods, loaded in compression whether the rocker pushes or pulls
Kind
CAD render
Source
GTU Motorsports, Formula Student

What I did

  • Designed the decoupled layout, with independent heave and roll damping.
  • Designed the damper cage, so a standard spring-damper gives the roll stiffness in both directions of roll, and a later iteration on linear bearings and low-friction joints, for more precise motion.
  • Built the full-car kinematic model in MSC Adams from scratch, because no template supported the geometry, cross-checked it in Lotus Suspension Analysis, and used it to set roll-centre migration, camber gain, bump steer and motion ratios.
  • Ran FEA on every major suspension part, from the rockers and uprights to the wheel centres, across 5 to 10 load cases each: maximum cornering, braking, acceleration, heave and combined (Figs. 4 and 5).
  • Took mass out of the unsprung wheel centres and, inboard, the damper cage, the damper extension shaft and the rocker shafts.
  • Designed the welding fixtures (Fig. 6); the team did its own part design, design for manufacture, bearing and fastener selection.
CAD renders of two rocker shaft assemblies side by side. Left: a triangular lattice-cut rocker plate on a shaft. Right: a curved lattice-cut rocker plate on a shaft that ends in a clevis.
Fig.
4
Title
The heave and roll rockers on their shafts
Kind
CAD render
Source
GTU Motorsports, Formula Student
Note
Same order as the FEA; the CAD and the FEA model differ in detail at the shaft ends.
FEA stress plots of the heave and roll rockers on their shafts: blue low stress, red high, highest where the rocker plates meet the shafts
Fig.
5
Title
Heave and roll rockers in FEA
Kind
FEA, stress contour, scale removed
Source
GTU Motorsports, Formula Student
Note
Load case: the maximum heave and roll spring forces at the element eyes. Colour shows stress; values withheld.
CAD render of a welding fixture: upright locating plates on a base plate holding the lattice-cut rocker plates and their shafts in position
Fig.
6
Title
Welding fixture for the rocker assembly
Kind
CAD render
Source
GTU Motorsports, Formula Student

Result

  • Ran on track at Formula Bharat 2020.
  • About 3 kg out of parts that were already light, in many small steps.